Multiple choice

Passage

Working alone, Gurmail, using a spade, empties a truckload of sand in 2 hours. Gurtej is 50% more efficient than Gurmail. Gurtej begins emptying a truck on arrival, and after half an hour is joined by Gurmail. A person is paid Rs. 300 to empty a truck.

One day, there were two similar truckloads to be unloaded. That time, Gurmail started the work on the second truck and left after working for 1 hour. Then Gurtej started from where Gurmail left and worked for 40 minutes. How would Gurmail and Gurtej divide the money between themselves if Rs. 400 was paid for this second truck work ?

  1. Rs. 150, Rs. 250

  2. Rs. 250, Rs. 150

  3. Rs. 100, Rs. 300

  4. Rs. 200, Rs. 200
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Gurmail rate = 1 truck/2 hours = 0.5 trucks/hr. Gurtej rate = 1.5 * 0.5 = 0.75 trucks/hr. Second truck: Gurmail works 1 hour (0.5 trucks). Remaining 0.5 trucks done by Gurtej at 0.75 trucks/hr, taking 0.5 / 0.75 = 2/3 hours (40 mins). Total work done: Gurmail 0.5, Gurtej 0.5. Since they did equal work, they split the money equally.

AI explanation

Gurmail's rate is 1/2 truck per hour, and Gurtej is 50% more efficient, giving Gurtej a rate of 3/4 truck per hour. For the second truck, Gurmail works for 1 hour to complete 1/2 of the work, and Gurtej works for 40 minutes (which is 2/3 of an hour) to complete (3/4) * (2/3) = 1/2 of the work. Since both completed an equal amount of work, the Rs. 400 payment is divided equally. The result is Rs. 200 for Gurmail and Rs. 200 for Gurtej.

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