Question

Avinash covered 150 km distance in 10 hours. The first part of his journey he covered by car, then he hired a rickshaw. The speed of car and rickshaw is 20 km/hr and 12 km/hr respectively. The ratio of distances covered by car and the rickshaw respectively are

• A. 2 : 3
• B. 4 : 5
• C. 1 : 1
• D. None of these

Answer 1

The correct option is C 1 : 1

Let the distance travel by car =x Km.
Then distance travel by rickshaw=(150-x) Km.
Then according to the question
$\Rightarrow \frac{x}{20}+\frac{150-x}{12}=10$
$\Rightarrow \frac{3x+750-5x}{60}=10$
$\Rightarrow 3x+750-5x=600$
$\Rightarrow -2x=-150$
$\Rightarrow x=75$
Hence distance travel by car=75 Km.
And distance travel by rickshaw=150-75=75$
Ratio ratio of distances covered by car and the rickshaw =75:75=1:1