A bus is moving with a speed of 10m/son 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 bus is moving with a speed of 10m/son a straight road. A scooterist

1.	A bus is moving with a speed of 10m/son 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?
Answer» `40 ms ^(-1)` `25ms^(-1)` `10 ms ^(-1)` `20 ms ^(-1)` Solution :SUPPOSE speed of SCOOTER is `v_(S)` and speed of bus is `v_(B),` the RELATIVE displacement between scooter & bus is, `X _(S) - x_(B) = ( x _(OS) -o_(OB)) + (v _(S) - v _(B))t ` When it overtakes `x _(S) -x_(B) =0` `therefore 0=100 0+ (v _(S) -10) t` `therefore (10 - v _(S))t = 1000` `therefore 10 -v _(S) = (1000)/(t)` ` therefore 10 -v _(S) = (1000)/(100)` `therefore v _(S) =20 m//s`