2.
A man travels 120 km by ship. 3 hours on a
horse and at a speed of 60 km/hr rail. Average
1
speed over the entire journey was 46 km/hr
and ratio of speed of ship: rail : horse is 2:3:1.
Find the total time and the distance.
(A) 630; 13.5
(B) 540 : 12.5
(C)480: 12.5 (D) 660 : 7.5
Answers
Answered by
1
Answer:
630km
Step-by-step explanation:
Ratio of speed of ship:rail:horse=2:3:1
rail speed =60km/h
horse speed = 60×1/3=20Km/h
ship speed = 60×2/3=40km/h
average speed = 140/3 km/h
total Time by ship = 120/40 = 3 hr
total distance by horse = 20×3= 60 km
Average speed = total distance/total time taken
average speed of boat and horse=180/6=30km/h
But given average speed is 140/3km/hr
difference of average speed = 140/3-30=50/3
distance = 50×6/3 = 100km
so, 100×3/40 = 15/2hr
so, total time = 15/2 + 6 = 27/2 hr
total distance= 27×140/2×3 = 630 km Ans.
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