A marathon runner starts the 26 mile run at 7.30 AM and reaches the

Question

A marathon runner starts the 26 mile run at 7.30 AM and reaches the finish line at 9.45 AM. If he runs at a constant speed throughout the marathon and water stations are put up along the route of the marathon after every 500 metres, which of the following is the closest to the time taken by the runner to go from one water station to the next one? (1 mile = 1.6 kilometres)

A. 1 minute 10 seconds
B. 1 minute 20 seconds
C. 1 minute 30 seconds
D. 1 minute 40 seconds
E. 1 minute 50 seconds

A. 1 minute 10 seconds
B. 1 minute 20 seconds
C. 1 minute 30 seconds
D. 1 minute 40 seconds
E. 1 minute 50 seconds

Himanshiog · Answer

Speed = 26miles*1.6km*1000m/(75 mins*60 seconds) ~~ 9 m/s
In 1 min , she'll cover 60*9 = 540 m, where I'm going wrong?

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Nielgmat · Answer

you calculated the time wrongly..it is not 75 mins , it is 135 mins.
So the speed is approx 320 m per min or 5.3 m/sec
accordingly the time taken to cover 500 m is approx 100 seconds, i.e 1min 40 sec.

suyash46 · Answer

26 * 1.6  = 42 Km
now 2.25 = 135 min 
42/125 Approx 300m/min so 500 is 100 mins

Hope this helps

samarpan.g28 · Answer

The total time taken is 2hrs 15mins=2hrs + (15/60)mins=2.25hrs.
The total distance is 26 miles=26*1.6=41.6kms.
Therefore, the runner's speed is 41.6/2.25=4160/225=832/45=18.4888...~18.49km/hr. This is constant.
Given, that the distance between two water stations is 500m=0.5kms.
So the time taken to go from one water station to another is 0.5/18.49~0.5/18.5=5/185~0.027hrs=0.027*60=1.62minutes i.e 1min (62/100)*60=1min 37.2 secs~1min 40 seconds. Option (D) is correct.

Kinshook · Answer

Given: A marathon runner starts the 26 mile run at 7.30 AM and reaches the finish line at 9.45 AM.
Asked: If he runs at a constant speed throughout the marathon and water stations are put up along the route of the marathon after every 500 metres, which of the following is the closest to the time taken by the runner to go from one water station to the next one? (1 mile = 1.6 kilometres)

Total Distance = 26 miles
Total time taken = 9:45 - 7:30 = 2:15 = 135 minutes
Speed = 26/135 miles/minutes

Distance between water stations = .5/1.6 = 5/16 miles
The time taken by the runner to go from one water station to the next one = (5/16)/(26/135) = (5*135)/(16*26) = 1.62 minutes = 1 minutes 40 seconds approx

IMO D

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