Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Boats and Streams

Question:

The ratio of speed of a motorboat to that of the current of water is 55:7. The boat goes along with the current in 6 hours 24 minutes. It will come back in?

Options:

7 hrs 45 minutes

7 hr 14 min

8 hr 47 min

8 hr 16 min

Correct Answer:

8 hr 16 min

Explanation:

Speed ratio:

    ATQ,           Motorboat        :           Current

                           55              :           7

Then,             Downstream      :           upstream

                        55 + 7          :            55 -7

                              62          :             48

          Speed           31          :             24

       Time            24          :             31  (If distance is constant, then ratio of speed = \(\frac{1}{ratio\;of\;time}\))

                       x16    ⇓                         ⇓ x16

               (given)   384 mins                  496 mins or 8 hr16 mins