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Question 478315: This is a question off of my upcoming Flight Aptitude test:
It will take 4 hours, 32 minutes, and 30 seconds to dig one part of a mortar pit. If the other part takes exactly 3/4 of the time it takes to dig the first part, how long will it take to dig the second part of the mortar pit?
A) 2 Hours, 24 Minutes, 22.5 Seconds
B) 3 Hours, 46 Minutes, 36 Seconds
C) 3 Hours, 24 Minutes, 22.5 Seconds
D) 1 Hours, 56 Minutes, 39 Seconds
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My work:
I think (A) is wrong because simplifying things down to just "hours", that's closer to 1/2 the time.
I think (D) is wrong because that is even less than (A), which is close to 1/2. So it is obviously not close to 3/4.
I do not know how to decide between B or C because of the seconds and minutes. Both hours are "3" which is close by approximation to 3/4 of the 4 hour, 32 minute, and 30 second time, which is how I ruled out (A) or (D).
I know I can take the minutes and convert that into an improper fraction with the hours. That gives me something like (Please forgive this long paragraph, not meaning to waste your time but I am also trying to figure this out as I type it)
Solving this:
Original Time: 4 hours, 32 minutes, 30 seconds.
Make this an improper fraction:
4 wholes, 32 parts. 32/60 = 8/15
4x15=60. So, our original time equals 68/15ths.
Multiply that by 3/4.
68x3=214. 15x4=60.
214/60 = 107/30.
This equals 3 wholes (which is 107 - 90, leaves me with 17/30, which converting back to minutes is 34 minutes (by multiplying by 2)).
So, 3 hours and 34 minutes. I need to incorporate those seconds to get an accurate answer but I don't know how.
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I know this is way more involved than your average question you get on here but I would tremendously appreciate the help. Thank you very much! P.S. I know for a fact there is a simpler way to go about solving these, maybe a formula or logical pathway to a "10 second answer" because this took me over half an hour to type and I would have 60 seconds on my test. Again, thank you very much!
Click here to see answer by scott8148(6628)  |
Question 478422: during the first part of a trip a canoeist travels 68 miles at a certain speed. The canoeist travels 3 miles on the second part of the trip at a speed of 5 mph slower the total time for the trip is 3 hours what was the speed on each part of the trip
Click here to see answer by jorel1380(3719)  |
Question 478622: 1. A plane travels from Orlando to Denver and back again. On the five-hour trip from Orlando to Denver, the plane has a tailwind of 40 miles per hour. On the return trip from Denver to Orlando, the plane faces a headwind of 40 miles per hour. This trip takes six hours. What is the speed of the airplane in still air?
Show full equation please, I'd like to fully understand it.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 478793: pls. help me solve this prob. tnx.
prob.1. A car and a lorry set off on a 390-km journey at the same time. The lorry traveled at a speed of 60km/hr. The car reached the destination 1 and 1/2 hour earlier than the lorry. find the speed of the car.
Click here to see answer by stanbon(75887) |
Question 478791: pls. help me solve this prob. tnx.
prob.1. Mary and Nancy set off on a 220- km jeepney. Nancy started the journey 15minutes earlier than mary. They reached the destination at the same time. If Nancy's speed was 80km/hr, find the Mary's speed.
Click here to see answer by mananth(16946)  |
Question 478789: pls. help me solve this prob. tnx.
prob.1. john and liza set off from town A to town B, which was 240 km away. John set off 1 hour than Liza and reached town B at the same time as Liza. If Liuza's speed was 60km/hr, what was John's speed?
Click here to see answer by mananth(16946)  |
Question 479309: One of the two people at a certain distance of 15 km per hour, and the other travels at the speed of 16 kilometers. The two had more than 16 minutes before someone other than a person who reached that total, how far?
Click here to see answer by Alan3354(69443)  |
Question 479300: Could you help me solve this problem please?
Two limos leave south bend at the same time and travel in opposite directions. One limo averages 65 mi/h and the other limo averages 55 mi/h. After how many hours will the limos be 720 mi apart.
Click here to see answer by Alan3354(69443)  |
Question 479539: A ball is thrown vertically upwars of 15 feet per second from a bridge that is 55 feet above the level of the water. The height h, in feet, of the ball above the water at time t in seconds after it is thrown is h = 12t^2 + 20t - 48
Find the time when the ball strikes the water.
Click here to see answer by jorel1380(3719)  |
Question 479482: A car travels 250 kilometrs in the same time that a truck travels 225 kilometers. If the speed of the car is 8 kilometers per hour faster than the speed of the truck, find both speeds.
What is the equation?
Click here to see answer by mananth(16946)  |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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