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Number Theory Level 2

Tarun Asthnaiya go to his office by local train. However nearby train station is quite far from his place and he used to drive his bike to train station daily with an average speed of 60km/hr. One day at halfway point he relized that due to heavy traffic he got late having average speed of just 30km/hr.How fast he must drive for the rest of the way to catch my local train ???

90 Km/hr 30 Km/hr Cannot Catch the train 120 Km/hr

Rohan Chandra by Rohan Chandra , 24, India

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1 solution

Vaibhav Prasad
Mar 3, 2015

Let the distance be = d d km

Driving at a speed of 60 60 km/hr, the time taken by him will be d 60 \frac{d}{60} hrs

Now, since he has reached halfway,i.e, d 2 \frac{d}{2} km at a speed of 30 30 km/hr, the time taken by him is d 2 × 30 = d 60 \frac{d}{2\times30}=\frac{d}{60} hrs. This implies that he is late and cannot catch the train \text{cannot catch the train} .

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