Question 14 of 17intermediate🔧 ApplyShort Answer4 marks

A local train from Yahapur to Vahapur stops at three stations at equal distances along the way. The time taken in minutes to travel from one station to the next station is the same and is denoted by t. The train stops for 2 minutes at each of the three stations. (a) If t = 4, what is the time taken to travel from Yahapur to Vahapur? (b) What is the algebraic expression for the time taken to travel from Yahapur to Vahapur?

(a)
Answer

22 minutes (4×44 \times 4 + 6 = 22)

(b)
Answer

4t + 6 minutes

Explanation

(a) Substituting t = 4 in the expression 4t + 6 gives 4(4) + 6 = 16 + 6 = 22 minutes. (b) 4 segments of travel time t, plus 3 stops of 2 minutes each: 4t + 3(2) = 4t + 6.