A group of hikers is planning a trip that will take them up a mountain using one route and back down using another route. They plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up, but the time each route will take is the same. If they will go up the mountain at a rate of 4 miles per day and it will take them two days, how many miles long is the route down the mountain?
Explanation: আমরা জানি \(\text{Speed} = \frac{\text{distance}}{\text{time}}\)। যেহেতু time constant, speed \(\propto\) distance। উপরে ওঠার speed এর 1.5 গুণ নিচে নামার speed। সুতরাং, একই time লাগবে উপরে ওঠার distance এর 1.5 গুণ নিচে নামার distance। উপরে উঠতে distance \((2 \times 4)\) miles \(= 8\) miles। সুতরাং, নিচে নামতে distance \((8 \times 1.5)\) miles \(= 12\) miles।
