Question

type of box.
(6) Out of 1900 km, Vishal travelled some distance by bus and some by aeroplan
Bus travels with average speed 60 km/hr and the average speed of aeroplanet.
700 km/hr. It takes 5 hours to complete the journey. Find the distance, Vish
travelled by bus.​

Answer 1

Given :

Total distance traveled by Vishal  = 1900 km

average speed of bus = 60 km/hr

average speed of airplane = 700 km/hr

Total time of journey = 5 hours

To Find :

The distance traveled by bus.

Solution :

Let the distance covered by by bus = d km.

Since,   $Time=\frac{distance}{speed}$

Time traveled by bus (t₁) = $\frac{d}{60}$

Time traveled by airplane (t₂) = $\frac{1900-d}{700}$

t₁ + t₂ = 5 hours

so, $\frac{d}{60}+\frac{1900-d}{700}=5$

$\frac{70d+(1900-d)6}{4200}=5$

$\frac{70d-6d+11400}{4200}=5$

64d + 11400 = 5 × 4200

64d = 21000 - 11400

$d=\frac{960}{64}$

d = 150 km

150 kilometers traveled by Vishal by bus.