Question

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​

Answer 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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