Question 6 - Figure it out - Page 102 to 105 - Chapter 4 Class 7 - Expressions using Letter-Numbers (Ganita Prakash)

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Question 6 (b) 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. (b) What is the algebraic expression for the time taken to travel from Yahapur to Vahapur? [Hint: Draw a rough diagram to visualise the situation]We found this out in part (a) Total journey time = 4t + 6 Question 6 (a) 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? The train starts at Yahapur and travels to Vahapur, with 3 stops in between. This creates 4 travel segments: Yahapur → Stop 1 → Stop 2 → Stop 3 → Vahapur Now, Total journey time = Total travel time + Total Stop time Finding each Total Travel Time There are 4 travel segments, and each takes 't' minutes. So, the total travel time is 4 × t = 4t minutes Total Stop Time The train stops for 2 minutes at each of the 3 stations. So, the total stop time is 3 × 2 = 6 minutes. Total Journey Time Since Total journey time = Total travel time + Total Stop time = 4t + 6 Solving (a) - (a) If t = 4, what is the time taken to travel from Yahapur to Vahapur? Putting t = 4 in total journey time Total journey time = 4t + 6 = 4 × 4 + 6 = 16 + 6 = 22 minutes