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CAT Exam  >  CAT Questions  >  Two motorists met at 10 a.m. at the Dadar rai... Start Learning for Free
Two motorists met at 10 a.m. at the Dadar railway station. After their meeting, one of them proceeded in the East direction while the other proceeded in the North direction. Exactly at noon, they were 60 km apart. Find the speed of the slower motorist if the difference of their speeds is 6 km/h.
  • a)
    28 km/h
  • b)
    18 km/h
  • c)
    9 km/h
  • d)
    19 km/h
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Two motorists met at 10 a.m. at the Dadar railway station. After their...

The distance between the motorists will be shown on the hypotenuse.
Using the 3,4,5 Pythagoras triplet and the condition that the two speeds are 6 kmph different from each other, you will get the triplet as: 18, 24, 30.
Hence, the slower motorist travelled at 18 kmph.
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Two motorists met at 10 a.m. at the Dadar railway station. After their...
To solve this problem, let's assume the speed of the slower motorist as 'x' km/h and the speed of the faster motorist as 'x + 6' km/h.

We know that the distance covered by an object is equal to its speed multiplied by the time taken.

Since they met at 10 a.m. and were 60 km apart at noon, they traveled for 2 hours.

Let's calculate the distance covered by each motorist:

Distance covered by the slower motorist = speed * time
= x km/h * 2 hours
= 2x km

Distance covered by the faster motorist = speed * time
= (x + 6) km/h * 2 hours
= 2(x + 6) km
= 2x + 12 km

Since they were 60 km apart at noon, the sum of their distances covered should be equal to 60 km.

2x + 2x + 12 = 60
4x + 12 = 60
4x = 60 - 12
4x = 48
x = 48/4
x = 12

Therefore, the speed of the slower motorist is 12 km/h.

Hence, the correct answer is option 'B' - 18 km/h.
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Two motorists met at 10 a.m. at the Dadar railway station. After their meeting, one of them proceeded in the East direction while the other proceeded in the North direction. Exactly at noon, they were 60 km apart. Find the speed of the slower motorist if the difference of their speeds is 6 km/h.a)28 km/hb)18 km/hc)9 km/hd)19 km/hCorrect answer is option 'B'. Can you explain this answer?
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