Question

A bus travels 160 km in 4 hours and a train travels 320km in 5 hours at uniform speeds, then the ratio of the distances travelled by them in one hour is

Answer 1

$\large\bf\underline{Given:-}$

• Bus travels 160km in 4 hours
• Train travels 320km in 5 hours

$\large\bf\underline {To \: find:-}$

• Ratio of distance travelled by train and bus in one hour.

$\huge\bf\underline{Solution:-}$

≫ Distance travelled by Bus in 4hr

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ = 160km.

≫ Distance travelled by Bus in 1hr

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 160/4

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ = 40km

≫ Distance travelled by train in 5hr

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ = 320km.

≫ Distance travelled by train in 1hr

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 320/5

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 64km

Ratio of distance travelled by train and Bus:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 40/64

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 5/8

Hence,

Ratio of distance travelled by train and bus = 5:8

$\rule{200}3$

Answer 2

★ Question

A bus travels 160 km in 4 hours and a train travels 320km in 5 hours at uniform speeds, then the ratio of the distances travelled by them in one hour is.

$\rule{230}2$

★ Solution

• Bus travel 160km in 4 hour
• Train travel 320km in 5 hour

Now,

→ Bus speed = 160/4 = 40km/h

→ train speed = 320/5 = 64km/h

★ Hence

→Ratio = 40 : 64

$\sf→ \frac{40}{64}\\\sf→ 5:8$