Question

A train travelling at the rate of $37$ miles in $50$ minutes takes $6$ hours for a journey. How long will it take if it travels at the rate of $60$ miles in the $1\frac{1}{4}$ hours?

• A. $6$ hours $30$ minutes
• B. $5$ hours $33$ minutes
• C. $6$ hours $33$ minutes
• D. $5$ hours $30$ minutes

Answer 1

Answer: (B)

$5$ hours $33$ minutes

Speed of train = $\frac{37miles}{50mins}=\frac{37}{\frac{50}{60}}=\frac{37\times 6}{5}mph$

Distance travelled by train = speed $\times$ time

$=\frac{37\times 6}{5}\times 6$miles

New speed of train = $\frac{60miles}{1\frac{1}{4}hr}=48mph$

Time taken = $\frac{Distance}{Time}$

=$\frac{37\times 6\times 6}{5\times 48}=\frac{111}{20}hr$

Ans = $5$hr $33$ minutes