How many hours does the bus take to travel?

July 17, 2008 at 12:09 PM by Ashley Durban SA | Posted in Mathematics

Q: A bus travels 200 km at a constant speed. A car travelling 10 km/h faster than the bus, completes the same distance in 1 hour less than the bus.

4.1 How many hours does the bus take to travel the 200 km?

4.2 What is the speed of the car?

July 17, 2008 at 12:26 PM by Pranil

A: Let the speed of bus = b km/hr
then speed of car = (b + 10) km/hr
time taken by bus for 200 km = 200/b hr
time taken by car for 200 km = 200/(b+10) hr
200/b – 1 = 200/(b +10)
200b + 2000 – b² – 10b = 200b
b² + 10b – 2000 = 0
(b + 50)(b...

1 Comments

  • Hannah N says:
    July 19, 2008 at 12:00 AM
    deddevv

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