On a 80 km staight road ,a bus travels the first 40km with uniform speed of 30km/h.how fast must the bus travel the next 40 km so as to have average speed of 40km/h for the entire trip?
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Hi. .
Total distance =80km
Average speed of entire journey=40km/h
Total Time taken =
total distance/average speed
=80/40
=2hr.
Case :1.
Time taken to cover first 40km
Speed=30km/h
Distance=40km
T=distance/ speed=40/30
=1.3hr -----equation ( 1)
Case: 2.
Time taken to travel next 40km
Let speed be =Xkm/ h
X=40KM/t
t=40/X hours ----equation( 2)
Total time =1 +40/X
Since total time =2 hr
2 =1 +40/X
2-1 =40/X
1=40/X
X=40km/h
Therefore bus should travel next 40km distance at a speed of 40 km/h..
Hope this helps u!!
Total distance =80km
Average speed of entire journey=40km/h
Total Time taken =
total distance/average speed
=80/40
=2hr.
Case :1.
Time taken to cover first 40km
Speed=30km/h
Distance=40km
T=distance/ speed=40/30
=1.3hr -----equation ( 1)
Case: 2.
Time taken to travel next 40km
Let speed be =Xkm/ h
X=40KM/t
t=40/X hours ----equation( 2)
Total time =1 +40/X
Since total time =2 hr
2 =1 +40/X
2-1 =40/X
1=40/X
X=40km/h
Therefore bus should travel next 40km distance at a speed of 40 km/h..
Hope this helps u!!
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