Question

Tahir travel twice as far as ahemd. But only third as fast Ahmed start point X at noon on Monday and travel to point X. 300 away by 9pm the same day if Tahir start 3hrs later than ahemd,when will Tahir reach point X? assuming no stop were made

Answer 1

Tahir will reach point X at approximately 9 pm on Wednesday, after starting his journey 3 hours later than Ahmed and traveling at one third the speed for twice the distance.

Step-by-step explanation:

The student's question asks when Tahir will reach point X if Ahmed starts at noon and travels to a point 300 km away by 9 pm, with Tahir starting 3 hours later and traveling twice the distance at a third of Ahmed's speed. Given Ahmed's travel time of 9 hours, we can calculate his speed and then use this information to determine Tahir's speed and ultimately the time Tahir will arrive at point X.

Ahmed's speed can be calculated as follows: Speed = Distance / Time, which for Ahmed is 300 km / 9 hours = 33.33 km/h. Since Tahir travels at a third of Ahmed's speed, his speed will be 33.33 km/h / 3 = 11.11 km/h. Tahir will cover twice the distance Ahmed travelled, which is 2 x 300 km = 600 km.

To calculate the time it takes Tahir to travel 600 km at 11.11 km/h, we use the formula Time = Distance / Speed. Thus, Tahir's travel time will be 600 km / 11.11 km/h = approximately 54 hours. Since Tahir started at 3 pm (3 hours after Ahmed's noon start), adding 54 hours to this start time gives us 3 pm + 54 hours = 9 pm on Wednesday.