Bissoy.com
Doctors Medicines MCQs Q&A

Deepa rides her bike at an average speed of 30 km/hr and reaches her destination in 6 hours. Hema covers the same distance in 4 hours. If Deepa increases her average speed by 10 km/hr and Hema increases her average speed by 5 km/hr, what would be the difference in their time taken to reach the destination ?

Deepa rides her bike at an average speed of 30 km/hr and reaches her destination in 6 hours. Hema covers the same distance in 4 hours. If Deepa increases her average speed by 10 km/hr and Hema increases her average speed by 5 km/hr, what would be the difference in their time taken to reach the destination ? Correct Answer 54 min

Deepa's original speed = 30 km/hr
Deepa's new speed :
= (30 + 10) km/hr = 40 km/hr
Distance = (30 × 6) km = 180 km
Hema's original speed :
= $$\frac{180}{4}$$ km/hr = 45 km/hr
Hema's new speed :
= (45 + 5) km/hr = 50 km/hr
Difference in time :
$$\eqalign{ & = \left( {\frac{{180}}{{40}} - \frac{{180}}{{50}}} \right){\text{ hrs}} \cr & = \frac{9}{{10}}{\text{ hrs}} \cr & = \left( {\frac{9}{{10}} \times 60} \right){\text{ min}} \cr & = 54{\text{ min}} \cr} $$

Related Questions

Deepa drives a bike at an average speed of 30 km/h and reach her destination in 6 h. Hema covers that distance in 4 h. If Deepa increase her average speed by 10 km/h and Hema increase her speed by 5 km/h, then what will be the difference in time taken by them to reach their destination?
Amit travels a certain distance with 3 bikes- A, B and C. The speed of bike C is 1 km/hour less than the speed of bike B, the speed of bike B is one less than the bike A. Amit travelled 330 km with bike A. He travelled a distance which is 120 km less than the previous distance of bike B and the distance he travelled on bike C was 60 km more than the distance he travelled at bike B. He took a total time of 81 hours to travel the entire distance on 3 bikes. Find the speed of bike A?
Sheetal rides a bike at an average speed of 40 kmph and reaches her destination in 5 hours. Amar covers the same distance in 4 hrs. If Sheetal increases her average speed by 10 kmph and Amar increases her average speed by 10 kmph, what would be the difference in their time taken to reach destination?
Study the two cases and answer in terms of relation between the two cases Case 1: The average speed of the bike is \(3\frac{3}{4}\) times the average speed of the bus. A car covers 720 km in 10 hours. How much distance (in km) will a bike cover in 50 minutes if the speed of the bus is half of the speed of the car? Case 2: The average speed of bike is \(1\frac{2}{5}\) times the average speed of the car. A bus covers 441 km in 7 hours. How much distance (in km) will a bike cover in 45 minutes if the speed of the car is twice the speed of the bus?
A covers a certain distance with car average speed of 20 km/hr and reach his destination in 6 hours, While B covers the same distance in 3 hours. If A increases his average speed by 25% and B decreases his average speed by 10 km/hr. What would be the difference between in their time taken to reach the destination?
Ramu rides his bike at an average speed of 45 km/hr and reaches his desitination in four hours. Somu covers the same distance in six hours. If Ramu covered his journey at an average speed which was 9 km/hr less and Somu covered his journey at an average speed which was 10 km/hr more, then the difference in their times taken to reach the destination would be (in minutes).
Six friends Govind, Sarayu, Rakul, Smita, Hema and Geervan are standing in a row. There are two persons between Sarayu and Hema. Rakul is between Hema and Smita. Only one person is standing before Govind. Geervan is between Govind and Hema. Hema is third from the back end of the row. Which two persons are standing between Sarayu and Hema?
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.
Rajat and Ranjan start cycling from stadium. Ranjan rides 8 km North, then turns to his right and rides 16 km. Further he turns to his right and rides 16 km to reach his home. In the meanwhile, Rajat rides 8 km East, then turns South and rides 8 km, then turns to his right and rides 12 km. Where is Rajat with respect to Ranjan?
Ranjeet drives his car at an average speed of 50 km/hr and reaches his destination in 8 hours. Rahman covers the same distance in 5 hours. If Ranjeet increases his speed by 10 km/hr and Rahman increases his speed by 20 km/hr, then what will be the difference in time taken by them to reach their destination?