Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Time, Speed and Distance

Question:

Jammu Express is 1.2 km long and is running along the Kerala express at speed of 80km/hr. Kerala express is 2/3rd the length of Jammu express and runs at 60 km/hr. How much time will it take for Jammu express to overtake the Kerala express. 

Options:

12 Min

6 Min

3 Min

8 min

Correct Answer:

6 Min

Explanation:

Length of Kerala express = 800 m

Speed = \(\frac{Distance }{Time }\)

According to the question:

(80 - 60) x \(\frac{5 }{18 }\) = \(\frac{\text{1200 + 800}}{Time }\)

20 x \(\frac{5 }{18 }\) =  \(\frac{\text{2000}}{Time }\)

\(\frac{50 }{9 }\) = \(\frac{\text{2000}}{Time }\)

Time = \(\frac{\text{2000 x 9}}{50}\)

Time = 360 seconds or 6 minutes