Question 32

Every Sunday , Gin jogs 3 miles . For the rest of the week , each day he jogs 1 mile more than the previous day . How many miles Gin jogs in 2 weeks ?

Solution

Distance jogged by Gin in a week starting from Sunday (miles) = 3, 4, 5, ....

This is an AP, with first term (a) = 3, common difference (d) = 1

Sum of AP = $$\frac{n}{2}[2a+(n-1)d]$$

Thus, total distance jogged in a week = $$\frac{7}{2}[(2\times 3)+(7-1)1]$$

= $$\frac{7}{2}(6+6)=42$$ miles

$$\therefore$$ Distance jogged in 2 weeks = $$2 \times 42=84$$ miles

=> Ans - (C)

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