Question

Paul goes on a 5-day hiking trek. He starts on Monday and finishes on Friday. Every day he covers 2 km more than the day before. In total he hikes 70 km. Which distance does he cover on Thursday?

Answer 1

distance travelled on Thursday = 16 km

Explanation:

Let x be the distance travelled on Monday

According to the question every day he covers 2 km more than the day before, thus

distance travelled on Tuesday = x + 2

distance travelled on Wednesday = x + 2 + 2

distance travelled on Thursday = x + 4 + 2

distance travelled on Friday = x + 6 + 2

total distance travelled = 70 km

thus,

x + x + 2 + x + 4 + x + 6 + x + 8 = 70

5x + 20 = 70

5x = 70 - 20

5x = 50

x = 50/5 = 10

distance travelled on Thursday = 16 km