QOTD | Quantitative Aptitude | Time and Distance

Question of The Day26-12-2019

If train A travels at 100 km/hr stopping for 6 minutes after every 75 km. How much percentage of time train A will waste in stopping in order to travel 1500 km?

Answer

Correct Answer : b ) \(12 {2 \over 3}\)%

Explanation :

We know that

\(speed= {distance \over time}\)

According to the question,

Train A travels 1500 km with a speed of 100 Km/hr

So, time taken to travel this distance will be

\( {1500 \over 100}=15\) hr

But, the train stops after every 75 km.

Number of times train will cover 75 km while travelling 1500 km

\(={1500 \over 75}=20\) times

But as the train will not stop for the 20th time as the train has already reached the destination by that time, so stopping will be done 19 times.

Also, stopping is done for 6 minutes each time

Thus, total stopping time will be 19 x 6 = 114 minutes

Therefore,

Percentage of time train A will waste in stopping will be

\( {114 \over 15{ * }{60}}*100\)

=\(12 {2 \over 3}\)%

Hence, (b) is the correct answer.

Such type of question is asked in government exams like SSC CGL, SSC MTS, SSC CPO, SSC CHSL, RRB JE, RRB NTPC, RRB GROUP D, RRB OFFICER SCALE-I, IBPS PO, IBPS SO, RBI Assistant, IBPS RRB OFFICER SCALE 2&3, etc.

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