Friday, September 16, 2011

How many hours does the bus take to travel?

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?|||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 鈥?1 = 200/(b +10)


200b + 2000 鈥?b虏 鈥?10b = 200b


b虏 + 10b 鈥?2000 = 0


(b + 50)(b 鈥?40) = 0


b = 鈥?50 or b = 40





speed of bus = 40 kmph


time for 200 km = 200/40 = 5 hr





speed of car = 40 + 10 = 50 kmph


--------|||deddevv

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