Latest Elitmus Aptitude Question SOLUTION: P. T. Usha and Shelly John decide to run a marathan between ramnagar and jamnagar. Both start from ramnagar at 1 pm. On the way are two towns: ramgarh and rampur seprated by a dist

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(#M40046353) ELITMUS Numerical Ability question Time,Distance and Speed Keep an EYE

P. T. Usha and Shelly John decide to run a marathan between ramnagar and jamnagar. Both start
from ramnagar at 1 pm. On the way are two towns: ramgarh and rampur seprated by a distance of 15
km .P. T. Usha reaches ramgarh in 90 minutes running at a constant speed of 40 km/hr, she takes
additional 30 minutes to reach rampur. Between rampur and jamnagar she maintains at average
speed of V km/hr. Shelly John being a professional marathon runner, maintains a constant speed of 18
km/hr.they both reach jamnagar togethar after n hours. What could be the total time taken by P. T. Usha ??

Asked In Elitmus kamal (9 years ago)

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hemant  (9 years ago)

P.T.Usha took 90 min to reach Ramnagar with a speed of 40 km/hr

i.e. P.T.Usha travels 60 km (distance between Ramnagar and Ramgarh)

Time taken by her from Ramgarh to Rampur = 30 min

From Rampur to Jamnagar she maintains a constant speed of V km/hr

(where V is a whole nos)

Let N be the total time taken by P.T.Usha and Shelly John to travel from Ramnagar to

Jamnagar

(where N is a whole nos)

Speed of Shelly John = 18 km/hr

Total distance travelled by Shelly John in N hr = 18N …….(i)

P.T.Usha took 2 hr to reach from Ramnagar to Rampur.

She took (N-2) hr to travel from Rampur to Jamnagar with a speed of V km/hrTherefore distance between Rampur to Jamnagar = (N-2)V km

Total distance = 60km + 15km + (N-2)V km = 75 + (N-2)V ….(ii)

Equating both equations;

18N = 75 + (N-2)V

or V = 18N -75 / (N - 2)

a) For N = 5 ; we get V = 5 (a whole nos)

b) For N = 15; we get V = 13 (a whole nos)

c) For N = 41; we get V = 17 (a whole nos)

ANS. D) All of above

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sravani rachakonda  (9 years ago)

2hr+(18n-75/v)hr

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