SSC Selection Post 2024 PYQ — Question 58

SSC Selection Post - Matriculation Level - 20 June 2024 - Shift 4 • Quantitative Aptitude • Q58

A teacher travelled a distance of 22 km in 7 hours. He travelled partly on foot at the speed of 2 km/h and partly on a bicycle at the rate of 4 km/h. The distance travelled on foot is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 6 km.

Let distance travelled on foot = x km

Distance travelled by bicycle = 22 - x km

Time on foot = x2x\over2  hours

Time on bicycle = 22−x422-x \over4 hours

According to the question,

⇒ x2x\over2  + 22−x422-x \over4 = 7

⇒ 2x + 22 - x = 28

⇒​​​​​​​ x = 6