in few questions we say that when average speed is given that doesnt mean its uniform / constant speed so we cant take that
confused in this concept. please help
pablovaldesvega
In the same period of time that a sports car traveled 120 miles, a truck traveled 100 miles. What was the truck's average speed during this period of time?
(1) During the first 30 minutes, the sports car traveled 30 miles.
(2) The truck's average speed was 10 miles per hour less than the sports car's.
A – (1) ALONE is sufficient, but (2) alone is not sufficient.
B – (2) ALONE is sufficient, but (1) alone is not sufficient.
C – TOGETHER are sufficient, but NEITHER ALONE is sufficient.
D – EACH ALONE is sufficient.
E – NEITHER ALONE NOR TOGETHER is the statements sufficient.
Given:
In the same period of time that a sports car traveled 120 miles, a truck traveled 100 miles.- Average speed of the sport's car = \(s_1\)
- Average speed of the truck = \(s_2\)
\(\frac{120}{s_1} = \frac{100}{s_2}\)
Inference: As we know the ratio of \(s_1\) and \(s_2\), knowing one value we can find the value of the other. Alternatively, if we can find the relationship between \(s_1\) and \(s_2\), we can find the values.
Statement 1(1) During the first 30 minutes, the sports car traveled 30 miles.With the given information we can only find the average speed of the car in the first 30 minutes. We don't know if the travel time was only 30 minutes or was more than that. Hence, we don't have sufficient information to find the average speed of the sports car for the entire journey.
The statement alone is not sufficient and we can eliminate A and D.
Statement 2(2) The truck's average speed was 10 miles per hour less than the sports car's.\(s_2 = s_1 - 10\)
This statement is sufficient as it presents a relationship between the average speed of the truck and the average speed of the car.
\(\frac{120}{s_1} = \frac{100}{s_1 - 10}\)
Solving further \(s_1\) = 60, and \(s_2\) = 50.
Option B