Question

A bus is moving with a speed of 10$m{s}^{-1}$ on a straight road. A scooterist wishes to overtake the bus in 100s. If the bus is at a distance of 1 km from the scooterist, with what speed should the scooterist chase the bus?

• A. 40 $m{s}^{-1}$
• B. 25 $m{s}^{-1}$
• C. 10 $m{s}^{-1}$
• D. 20 $m{s}^{-1}$

Answer 1

The correct option is D 20 $m{s}^{-1}$

According to the question,

Given,

$t=100s$,

$d=1000m{V}_{bus}=10m/s$

The relative speed with respect to the bus is

$V=\frac{d}{t}$

$=\frac{1000}{100}$

$=10m/s$

The scooter ad the bus are moving along the same direction

$V=V_{scooter}-V_{bus}$

$10=V_{scooter}-10$

$10+10=Vscooter$

$Vscooter=20m/s$

Hence, the speed of the scooter is $20m/s$.