Question

A man covered a distance of $2000$ km in $18$ hours partly by bus at $72$ km/hr and partly by train at $160$ km/hr. The distance covered by bus is

• A. $860$ km
• B. $640$ km
• C. $1280$ km
• D. $720$ km

Answer 1

Answer: (D)

$720$ km

Let us Assume that the $Time$ taken by Bus is $T$

Now,

Distance Traveled $=2000km$ (Given)

The time taken by the bus $=T$ (Assumed)

The time taken by the train $=18-T$

Distance Travelled in the bus $=72T$

Distance Travelled in the train $=160(18-T)$

$\Rightarrow 2000=72T+160(18-T)$

$\Rightarrow 2000=72T+2880-160T$

$\Rightarrow 88T=880$

$\Rightarrow T=10$

Now Distance Covered By $BUS=72T=72\times 10=720km$

Therefore Answer is $\left(D\right)$