Rashmi started a journey of 480 km by car. She wants to complete the journey as soon as possible for that she wants to maintain the speed of the car at 80 kmph. She maintains the speed for 62.5% of distance and after that, she took a break for 30 mins. and then starts the journey with 60 kmph. What is the difference between the actual time taken and the planned time for the entire journey?

Rashmi started a journey of 480 km by car. She wants to complete the journey as soon as possible for that she wants to maintain the speed of the car at 80 kmph. She maintains the speed for 62.5% of distance and after that, she took a break for 30 mins. and then starts the journey with 60 kmph. What is the difference between the actual time taken and the planned time for the entire journey? Correct Answer 75 min

GIVEN :

Total journey distance = 480 km

Ideal average speed = 80 kmph

Planned or time taken in ideal condition = 480/80 = 6 hour = 360 minutes

 

CALCULATION :

For actual time,

Distance in which average speed of 80 kmph is maintained.

Distance covered before break = 62.5% of 480 = (5/8) × 480 = 300 km

Time taken to cover this distance = 300/80 = 3.75 hour = 225 minutes

After the break,

Distance need to be covered = 480 - 300 = 180 km

Time required to cover the distance = 180/60 = 3 hour = 180 minutes

Actual time of journey = 225 + 180 + 30 = 435 minutes

∴ Difference in time = 435 - 360 = 75 min

 

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.