**meg****Guest**

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?

**Chocolat****Guest**

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 â 1 = 200/(b +10)

200b + 2000 â bÂ² â 10b = 200b

bÂ² + 10b â 2000 = 0

(b + 50)(b â 40) = 0

b = â 50 or b = 40

speed of bus = 40 kmph

time for 200 km = 200/40 = 5 hr

speed of car = 40 + 10 = 50 kmph

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