Question

A man travels 401 kilometres in, partly by rail and partly by steamer. He spends 6 hours more time on steamer. If the velocity of the steamer is 21 km/hr and the velocity of rail is 56 km/hr, how much distance does he cover by steamer?

A) 241 km B) 302 km C) 201 km D) 362 km

Answer 1

$\huge\mathfb{Solution :-}$

Given ➡

• Total distance = 401 km
• Velocity by rail = 56 km/hr¹
• Velocity by steamer = 21 km/hr¹
• 6 hours more he spends on steamer

To find ➡

• Distance covered by steamer = ?

Solution ➡

Let the time spend on rail be :- x

Therefore, the time spend on steamer - x + 6

According to question,

Distance traveled by rail + Distance travelled by steamer = 401

Distance = Speed × time

21 × ( x + 6 ) + 56 × x = 401

➡ 21 x + 126 + 56x = 401

➡ 77x = 401 - 126

➡ x = 275 / 77

➡ x = 3.57