Question

4. During a camping trip, a group went one third of the total distance by boat, 10km by foot and
One - sixth of it by riding horses. Find the total distance of the trip

Answer 1

answer is 20 kilometers explanation is above

Answer 2

$Let \: the \: total \:distance \:of \:the \:trip = x\:km$

/* According to the problem given */

$i) Distance \: covered \:by \: boat = \frac{x}{3} \:km$

$ii) Distance \: covered \:by \: foot= 10 \:km$

$iii) Distance \: covered \:by \:riding \: horses$

$= \frac{x}{6} \:km$

$x = \frac{x}{3} + 10 + \frac{x}{6}$

$\implies x - \frac{x}{3} - \frac{x}{6} = 10$

$\implies \frac{6x - 2x - x }{6} = 10$

$\implies \frac{3x}{6} = 10$

$\implies \frac{x}{2} = 10$

$\implies x = 10 \times 2$

$\implies x = 20 \:km$

Therefore.,

$\red{ Total \:distance \:of \:the \:trip} \green{ = 20 \:km }$

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