Q: A bus is moving with a speed of 10 ms–1 on a straight road. A scooterist wishes to overtake the bus in 100 s. If the bus is at a distance of 1 km from the scooterist, with what speed should the scooterist chase the bus?
(a) 20 ms–1
(b) 40 ms–1
(c) 25 ms–1
(d) 10 ms–1
Ans: (a)
Sol:Let speed of scooterist = v
Distance traveled by bus in 100 s is
= 10 x 100 = 1000 m
To overtake the bus , distance traveled by scooterist = 1000 + 1000 = 2000m
To overtake ,
2000 = 100 v
v = 20 m/s