On a 120km track, a train travels the first 30 km at a uniform speed of 30 km/hr. How fast
must the train travel the next 90 km so as to average 60 km/hr for the entire trip?
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Answered by
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Hello freind !!
Let total distance ( s) = 120 km ,initial distance ( s1) = 30km , speed (v1) = 30km/h
Therefore time taken for first 30km = t1 = s1/v1 =30km/(30km/h)
t1= 1h
Average speed = 60km/h ,total distance travelled = 120 km
Total time taken(t) = 120 km /(60km/h )
Hence, total time (t) = 2h
Remaining distance =s2 =120-30 = 90km
So,time taken for the remaining 90km (t2) = t -t1
Therefore, t2 = 2h-1h =1h
Speed (v2) for the remining 90km = 90km/1h
Hence speed for the next 90km should be 90km/h
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Let total distance ( s) = 120 km ,initial distance ( s1) = 30km , speed (v1) = 30km/h
Therefore time taken for first 30km = t1 = s1/v1 =30km/(30km/h)
t1= 1h
Average speed = 60km/h ,total distance travelled = 120 km
Total time taken(t) = 120 km /(60km/h )
Hence, total time (t) = 2h
Remaining distance =s2 =120-30 = 90km
So,time taken for the remaining 90km (t2) = t -t1
Therefore, t2 = 2h-1h =1h
Speed (v2) for the remining 90km = 90km/1h
Hence speed for the next 90km should be 90km/h
Please mark it as brainliest
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1
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