SOLUTION: David and Carl go mounting climbing. David starts 30 minutes before Carl and climbs at 18 ft/min. Carl climbs at 20 ft/min. How far up the mountain will they meet.
20t = 18(t
Algebra.Com
Question 200523: David and Carl go mounting climbing. David starts 30 minutes before Carl and climbs at 18 ft/min. Carl climbs at 20 ft/min. How far up the mountain will they meet.
20t = 18(t +30)
20t = 18t + 540
2t = 540
t = 270
This can't be the correct answer because David has already climbed 540 feet even before Carl starts climbing. Therefore meeting at 270 ft. is the wrong answer. What is the answer and what am I doing wrong?
Found 2 solutions by vleith, rfer:
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
Let David's time be given as t.
Then Carl's time is t-30.
When Carl catches Dave, their distances are the same
that 300 is in minutes
So 5 hours in, they are both 18*300 = 20*270 = 5400 feet on their way.
FYI - climbing a mile in 5 hours is 'hiking'
Your answer is correct as far as you took it. You just have the units wrong. Your answer is time ... not distance. Your answer says Carl was hiking for 270 minutes .. not 270 feet.
Dave left 30 minutes earlier, so he has walked 300 minutes (same as my answer)
To convert time to distance, use
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
the difference in speed 20-18=2
so he will gain 2 ft/min
or 270 min to meet
you just need to go a little further
270 min * 20 ft/min=5400 ft up the mountain
270 min * 18 ft/min=4860 ft + 540 ft ahead=5400 ft up mountain
RELATED QUESTIONS
a rock climber needs to climb a 400 ft wall. He climbs at 10 ft/min. After climbing for... (answered by solver91311)
Bill and Sally go climbing together. Sally begins 30 minutes b efore Bill at 1pm. Sally... (answered by checkley77)
A jet cruising at 870 km/hr climbs at an angle of (15 degrees 30 minutes). What is its... (answered by Alan3354)
together it takes john and carl 6hours and 25 minutes to sort recycyle material. Alone,... (answered by mananth)
Suppose that Carl was riding a bicycle at 15 mph, he rode 10 miles farther than Michael,... (answered by stanbon)
A plane takes off from an airport, which is 5500 ft above sea level, and climbs to... (answered by Alan3354)
A plane climbs from an altitude of 19,000 ft to a cruising altitude of 31,000 ft. The... (answered by ikleyn)
At the end of the game, Amy, Betty and Carl had a total of 110 points. Amy had 6 less... (answered by ewatrrr)
At the end of the game, Amy, Betty and Carl had a total of 110 points. Amy had 6 less... (answered by jorel1380)