If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. What is the actual distance travelled by him?
a)
80 km
b)
70 km
c)
60 km
d)
50 km
Correct answer is option 'D'. Can you explain this answer?

Question

If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. What is the actual distance travelled by him?

a)
80 km
b)
70 km
c)
60 km
d)
50 km

Correct answer is option 'D'. Can you explain this answer?

Answer

Distance he could travelled/speed diff.
= 20/(14-10)
= 20/4
= 5 hrs
Now his actual speed was 10 km/h
Total distance travelled by him = speed × time
= 10 × 5
= 50 km.

Answer

Lag is 14-10= 4km/hr and she traveled 20 kms extra thus time for which she traveled is 20/4 = 5 hrs.. which is 5*10= 50 kms

Answer

Distance he could travelled/speed diff.
= 20/(14-10)
= 20/4
= 5 hrs
Now his actual speed was 10 km/h
Total distance travelled by him = speed × time
= 10 × 5
= 50 km.

Answer

Let the original distance me X km 10km/hr he travelled x km
therefore in 1 km/hr he travelled X/10 km

similarly if he walks at in 14km/hr he travelled X+20km

therefore in 1 km/hr he travelled (X+20)/14

We get (X+20)/14= X/10

10X +200= 14X

4X= 200X=50

Therefore the actual distance is 50 km which is in Option D.

Answer

Distance he could travelled/speed diff.
= 20/(14-10)
= 20/4
= 5 hrs
Now his actual speed was 10 km/h
Total distance travelled by him = speed × time
= 10 × 5
= 50 km.

Answer

Distance he could travelled/speed diff.
= 20/(14-10)
= 20/4
= 5 hrs
Now his actual speed was 10 km/h
Total distance travelled by him = speed × time
= 10 × 5
= 50 km.

Answer

Given:
Speed with which person walked initially = 10 km/hr
Speed with which person walked later = 14 km/hr
Difference in speed = 4 km/hr
Extra distance walked due to increased speed = 20 km

To find:
Actual distance travelled by the person

Solution:

Let's assume that the actual distance travelled by the person is 'd' km.

When the person walks at 10 km/hr, time taken to travel distance 'd' = d/10 hours
When the person walks at 14 km/hr, time taken to travel distance 'd' = d/14 hours

As per the given condition, the difference in time taken at both speeds is equal to 20 km.
i.e., d/14 - d/10 = 20
=> (5d - 7d)/70 = 20
=> d = 50 km

Therefore, the actual distance travelled by the person is 50 km.

Hence, the correct answer is option D.

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