Solution:
Given:
Travelled 120 km by steamer, 450 km by train and 60 km by horse
Total time = 13 hours 30 minutes
Speed of train (ST) = 3 × Speed of horse (SH)
Speed of train (ST) = 1.5 × Speed of steamer (SSt)
Formula used:
Time = Distance/Speed
Calculation:
Let, SH = x km/hr
Now, ST = 3x km/hr
ST = 1.5 × SSt
⇒ 3x = 1.5 × SSt
⇒ SSt = 2x
According to the question,
(120/2x) + (450/3x) + (60/x) = [13 + (30/60)]
⇒ (60/x) + (150/x) + (60/x) = (27/2)
⇒ (270/x) = 27/2
⇒ x = 20
Now,
Speed of steamer = SSt = 2x = 20 × 2 = 40 km/hr
∴ The speed of steamer is 40km/hr.
