The distance between Delhi and Dehradun is 260 km. Ravi started his journey from Delhi to Dehradun at 10 am at the speed of 65 km/hour and Binder started his journey at 1 pm from Dehradun to Delhi at a speed of 65 km/hour. At what time both meet each other?

The distance between Delhi and Dehradun is 260 km. Ravi started his journey from Delhi to Dehradun at 10 am at the speed of 65 km/hour and Binder started his journey at 1 pm from Dehradun to Delhi at a speed of 65 km/hour. At what time both meet each other? Correct Answer 1:30 pm

Given

Total distance travelled = 260 km

Formula used

Distance = Speed × Time

Calculation

Hours between 10 am to 1 pm = 3 hours

Distance covered by Ravi between 10 am to 1 pm = 65 × 3 = 195 km

Remaining distance = 260 – 195 = 65 km

Relative speed = 65 km/hour + 65 km/hour = 130 km/hour

Now, they cover 65 km in hours = 65 km/130 km/hour = 1/2 hour

⇒  30 minutes

So, they will meet 30 minutes after 1 pm.

∴ They will meet each other at 1:30 pm.

Related Questions

Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. If the bus is travelling from Surat to Ahmadabad and a car is travelling from Ahmadabad to Surat, then what is the distance between Surat and Ahmadabad? I. The speed of a car is 40% less than the speed of bus. Bus started at 9 am and car started at 10 am and they meet at 3 pm of the same day. II. After travelling for 1 hour, because of traffic average speed of bus is decreased by 20% and covers distance between Surat to Ahmadabad in 11 hours. Original speed of car is 20% less than original speed of bus and before crossing bus it covered 200 km if starts 1 hour later than bus. After crossing car, bus covers remaining distance in 5 hours. III. Speed of bus is 10 km/hr more than the speed of car and before crossing car ratio of distances covered bus and car in same time was 5 : 4. Time taken by car to cover the distance between Ahmadabad and Surat is 2 hours 15 minutes more than time taken by bus to cover the same distance.