Aptitude:speed and distance [Section 1 of 1] Q23 of 30 Marks 1 General Instructions 100% ×CloseTest time left: 07:03Select the correct answerA truck travelled to a place Q from P, 50 km apart at 10 kmph faster than the usual speed, but it returned the same distance at 10 kmph, slower than usual speed. If the total time taken by the truck for whole journey is 12 hours, then how many hour will it travel at the faster speed?
Question
Aptitude:speed and distance [Section 1 of 1] Q23 of 30 Marks 1 General Instructions 100% ×CloseTest time left: 07:03Select the correct answerA truck travelled to a place Q from P, 50 km apart at 10 kmph faster than the usual speed, but it returned the same distance at 10 kmph, slower than usual speed. If the total time taken by the truck for whole journey is 12 hours, then how many hour will it travel at the faster speed?
Solution
Let's denote the usual speed of the truck as 'x' kmph.
When the truck is moving from P to Q, it's moving at a speed of 'x+10' kmph. The time taken for this journey can be calculated using the formula 'distance/speed', which gives us '50/(x+10)' hours.
When the truck is returning from Q to P, it's moving at a speed of 'x-10' kmph. The time taken for this journey is '50/(x-10)' hours.
According to the problem, the total time taken for the whole journey is 12 hours. So, we can set up the following equation:
50/(x+10) + 50/(x-10) = 12
Solving this equation will give us the value of 'x', the usual speed of the truck. Once we have 'x', we can substitute it back into the equation '50/(x+10)' to find out how many hours the truck will travel at the faster speed.
Similar Questions
Aptitude:speed and distance [Section 1 of 1] Q6 of 30 Marks 1 General Instructions 100% ×CloseTest time left: 17:02Select the correct answerA car travels 80 km. in 2 hours and a train travels 180 km. in 3 hours. The ratio of the speed of the car to that of the train is?
Aptitude:speed and distance [Section 1 of 1] Q16 of 30 Marks 1 General Instructions 100% ×CloseTest time left: 11:44Select the correct answerTwo cars A and B start simultaneously from two different places and travels towards each other. They arrive at their destination after 2 hrs and 3 hrs respectively. If speed of car A is 48 km/hr. what is the speed of car B?
Aptitude:speed and distance [Section 1 of 1] Q18 of 30 Marks 1 General Instructions 100% ×CloseTest time left: 10:10Select the correct answerTwo cars travel the same distance starting at 10:00 am and 11:00 am, respectively, on the same day. They reach their common destination at the same point of time. If the first car travelled for at least 6 hours, then the highest possible value of the percentage by which the speed of the second car could exceed that of the first car is?
A loaded truck travels 14 km in 25 minutes. If the speed remains the same, how far can it travelin 5 hours?
Aptitude:speed and distance [Section 1 of 1] Q22 of 30 Marks 1 General Instructions 100% ×CloseTest time left: 07:53Select the correct answerA part of the Journey is covered in 31.5 minutes at 80 km/h and the remaining part in 16 minutes at 75 km/h. The total distance of the journey is?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.