Question

If a bus travels 126 km in 3 hours and a train travels 315 km in 5 hours, then the ratio of their speeds is

(a) 2 : 5
(b) 2 : 3
(c) 5 : 2
(d) 25 : 6

Answer 1

(b) 2 : 3
Speed = $\frac{\mathrm{Distance}}{\mathrm{Time}}$
Speed of the bus = $\frac{126}{3}=42\mathrm{km}/\mathrm{h}$

Speed of the train = $\frac{315}{5}=63\mathrm{km}/\mathrm{h}$

Ratio of their speeds = 42 : 63 = 2 : 3