A bus complete a certain journey in 19 hours. It covers first half of the distance at a rate of 15 km/h and second half at the rate of 20 km/h. The length of journey is …………a)360 km.b)240 km.c)120 km.d)Nonee)All of the aboveCorrect answer is option 'D'. Can you explain this answer?

Question

A bus complete a certain journey in 19 hours. It covers first half of the distance at a rate of 15 km/h and second half at the rate of 20 km/h. The length of journey is &hellip;&hellip;&hellip;&hellip;a)360 km.b)240 km.c)120 km.d)Nonee)All of the aboveCorrect answer is option 'D'. Can you explain this answer?

Answer

Let the length of the journey be x km.

The bus covers the first half of the distance at a rate of 15 km/h, so it takes x/2 / 15 = (x/30) hours to cover the first half.

The bus covers the second half of the distance at a rate of 20 km/h, so it takes x/2 / 20 = (x/40) hours to cover the second half.

The total time taken to complete the journey is (x/30) + (x/40) = 19 hours.

Multiplying through by 120 (the least common multiple of 30 and 40) to clear the fractions, we get:

4x + 3x = 19 * 120
7x = 2280
x = 2280 / 7
x ≈ 325.7

Therefore, the length of the journey is approximately 325.7 km.

Answer

Let the total distance be,
=> x =(x/2)/15 + (x/2)/20
=> x = x/15 + x/20
=> x= 35
=> x = (60/18)*19
=> x = 63

Similar Quant Doubts

A car covers first half of its journey at the rate of 15km/h and second half at the rate of 12km/h and total time taken to complete the journey is 9 hours. Find the length of journey.

Without stoppage, a train travels a certain distance with an average speed of 60 km/h, and withstoppage, it covers the same distance with an average speed of 40 km/h. On an average, howmany minutes per hour does the train stop during the journey?

Sonu covers a distance of 90 km in 5 hours. He covers some part of distance by cycle at the speed of 15 km/hr and rest part covers by bus running at a speed of 20 km/hr. Find what distance he cover by cycle?

A car runs at the speed of 50 km per hour when not serviced and runs at 60 kmph when serviced. After servicing the car covers a certain distance in 6 hours. How much time willthe car take to cover the same distance when not serviced?

Ajay covers certain distance with his own speed but when he reduces his speed by 10kmph his time duration for the journey increases by 40 hours while if he increases his speed by 5 kmphfrom his original speed he takes 10 hours less than the original time taken. Find the distance covered by him.

Top Courses for Quant

Related Content

Quant Courses

Related Exams

Related Question Answers

Related Searches

Company