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The distance between Delhi and agra is 200 km. A train travels the first 100 km at a speed of 50km/h. How fast must the train travel the next 100km/h, so as to average 70km/h for the whole journey?
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The distance between Delhi and agra is 200 km. A train travels the fir...
The total distance= 200kmlet total time be 't ' hoursspeed of train for the first 100 km is 50km/htime taken for the first 100km(t1)=distance/ speed = 100km/50km/h=2hoursAverage speed=total distance/total time taken=total distance(s1+s2)/total time(t1+t2)where, s2= next 100km traveled by train.t2=time taken to travel next 100km∴70km/hr=200km/(2+t2)hours70=200/2+t2140+70t2=20070t2=60t2=60/70t2=6/7 hours.∴speed required by train to travel next 100km so as to attain 70km/h average speed is:speed(v2)=distance/ time=100km/6/7=700/6=116.67km/hr
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The distance between Delhi and agra is 200 km. A train travels the fir...
Given Information:
- Distance between Delhi and Agra: 200 km
- Distance traveled in the first 100 km: 100 km
- Speed during the first 100 km: 50 km/h
- Target average speed for the whole journey: 70 km/h
Calculating Time:
To find the speed for the next 100 km, we need to calculate the time taken for the first 100 km and the overall time taken for the whole journey.
Time taken for the first 100 km:
Time = Distance / Speed
Time taken for the first 100 km = 100 km / 50 km/h = 2 hours
Time taken for the whole journey:
Average Speed = Total Distance / Total Time
70 km/h = 200 km / Total Time
Total Time = 200 km / 70 km/h = 2.857 hours
Since we already know that the time for the first 100 km is 2 hours, we can subtract this from the total time to find the time taken for the next 100 km.
Time taken for the next 100 km = Total Time - Time taken for the first 100 km
Time taken for the next 100 km = 2.857 hours - 2 hours = 0.857 hours
Calculating Speed:
To find the speed for the next 100 km, we divide the distance by the time taken.
Speed = Distance / Time
Speed for the next 100 km = 100 km / 0.857 hours ≈ 116.6 km/h
Answer:
The train must travel at a speed of approximately 116.6 km/h for the next 100 km in order to average 70 km/h for the whole journey.
- Distance between Delhi and Agra: 200 km
- Distance traveled in the first 100 km: 100 km
- Speed during the first 100 km: 50 km/h
- Target average speed for the whole journey: 70 km/h
Calculating Time:
To find the speed for the next 100 km, we need to calculate the time taken for the first 100 km and the overall time taken for the whole journey.
Time taken for the first 100 km:
Time = Distance / Speed
Time taken for the first 100 km = 100 km / 50 km/h = 2 hours
Time taken for the whole journey:
Average Speed = Total Distance / Total Time
70 km/h = 200 km / Total Time
Total Time = 200 km / 70 km/h = 2.857 hours
Since we already know that the time for the first 100 km is 2 hours, we can subtract this from the total time to find the time taken for the next 100 km.
Time taken for the next 100 km = Total Time - Time taken for the first 100 km
Time taken for the next 100 km = 2.857 hours - 2 hours = 0.857 hours
Calculating Speed:
To find the speed for the next 100 km, we divide the distance by the time taken.
Speed = Distance / Time
Speed for the next 100 km = 100 km / 0.857 hours ≈ 116.6 km/h
Answer:
The train must travel at a speed of approximately 116.6 km/h for the next 100 km in order to average 70 km/h for the whole journey.
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The distance between Delhi and agra is 200 km. A train travels the first 100 km at a speed of 50km/h. How fast must the train travel the next 100km/h, so as to average 70km/h for the whole journey?
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The distance between Delhi and agra is 200 km. A train travels the first 100 km at a speed of 50km/h. How fast must the train travel the next 100km/h, so as to average 70km/h for the whole journey? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The distance between Delhi and agra is 200 km. A train travels the first 100 km at a speed of 50km/h. How fast must the train travel the next 100km/h, so as to average 70km/h for the whole journey? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The distance between Delhi and agra is 200 km. A train travels the first 100 km at a speed of 50km/h. How fast must the train travel the next 100km/h, so as to average 70km/h for the whole journey?.
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