Ronita covers a distance of 250 km at the speed of 25 km/h. 560 km at 70 km/h. 720 km at 40 km/h, 450 km at 90 km/h, 840 km at 120 km/h, and the next 360 km at 30 km/h. If her average speed for the whole journey is x km h, then how much time will she take to cover the next (53 + 4x) km at x km/h?
Answers 1
Answer:
5 hours
Step-by-step explanation:
Distance 1 = 250km
Speed 1 = 25km/h
Time 1 = Distance 1 ÷ Speed 1
= 250/25
= 10 hours
Time 2 = 560/70
= 8 hours
Time 3 = 720/40
= 18 hours
Time 4 = 450/90
= 5 hours
Time 5 = 840/120
= 7 hours
Time 6 = 360/30
= 12 hours
Total Distance
= 250 + 560 + 720 + 450 + 840 + 360
= 3180km
Total Time
= 10 + 8 + 18 + 5 + 7 + 12
= 60 hours
Average Speed = Total Distance ÷ Total Time
=> x = 3180 ÷ 60
=> x = 53km/h
Time Taken To cover the next distance
= (53 + 4x) ÷ x
= (53 + 4 × 53) ÷ 53
= (53 + 212) ÷ 53
= 265/53
= 5 hours
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