SOLUTION: How fast did a car go to overtake a passenger's bus in 5 hours if the bus' rate is 45 kph and left 4 hours before the car?

Question 922344: How fast did a car go to overtake a passenger's bus in 5 hours if the bus' rate is 45 kph and left 4 hours before the car?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
5x=(5+4)*45
x=9*9
x=81 kph to catch it in 5 hours
another way
The first car had a head start of 180 (4*45) km
the second car needs to gain
180/5=36 km
so it must travel at
45+36=81 kph

check
Gaining speed 81-45= 36 mph
Head start 45*4 =180 miles
Time to catch up 180/36=5 hours
Algebraic solution
45(t+4)=81t
45t+180=81t
180=81t-45t
180=36t
t=5 hours
Distance to meeting 5*81=405 miles

RELATED QUESTIONS
how fast did a car go to overtake a bus in 6 hours if the bus average 45mph and left 3... (answered by checkley77)

How fast must a car travel to overtake a bus in 5 hours, if the bus is averaging 30... (answered by ankor@dixie-net.com)

how fast must a car tavel to overtake a bus in 5 hours, if the bus is averaging 30... (answered by Gogonati)

A passenger bus starts out and travels at 65 kph. three hours later a car starts out from (answered by checkley79)

Please help me to solve this problem #1 Two cars leave a town and travel in opposite (answered by mananth)

a passenger jeep traveling at 30 kph leaves a town two hours later a car leaves the same... (answered by ankor@dixie-net.com,greenestamps)

A bus traveling at rate of 60 kph leaves a city. Two hours later, a bus whose average... (answered by mananth)

A man leaves his home driving his car on a business trip. Twenty minutes later, his wife (answered by stanbon)

A bus and car travel in opposite directioms. After 3 hours, they were 300miles apart. The (answered by ptfile)