Question

Ranjeet travels $\frac{45}{2}$ km to his hometown. If he takes a bus for $\frac{22}{5}$ km and a train for the remaining journey, what distance (in decimals) did he travel by train?

• A. 16.79 km
• B. 18.1 km
• C. 20.25 km
• D. 17.1 km

Answer 1

The correct option is B

18.1 km

We can either convert the fractions to decimals before calculation or after calculation.

Method 1 : - Distance travelled by bus = $\frac{22}{5}$ out of $\frac{45}{2}$ km

Distance left to be covered by train = $\frac{45}{2}$ - $\frac{22}{5}$

= $\frac{225}{10}$ - $\frac{44}{10}$

= $\frac{181}{10}$

= 18.1 km in decimal

Method 2 : -

Distance travelled by bus = $\frac{22}{5}$ km = 4.4 km out of $\frac{45}{2}$ = 22.5 km

Distance left to be covered by train = 22.5 - 4.4 = 18.1 km