Question : A person goes from P to Q at a speed of 20 km/hr. Then he goes from Q to R at a speed of $q$ km/hr. Finally, the person goes from R to S at a speed of $r$ km/hr. The distances from P to Q, Q to R and R to S are equal. If the average speed from P to R is $\frac{280}{11}$km/hr, and the average speed from Q to S is $\frac{112}{3}$ km/hr, then what is the value of $r$?

Option 1: 40

Option 2: 37.5

Option 3: 42.5

Option 4: 45

Question : A person walks 10 km at a speed of 2.5 km/hr, then runs 10 km at a speed of 5 km/hr and then goes 30 km by bus at the speed of 30 km/hr. What is the average speed of the man?

Option 1: 9 km/hr

Option 2: 8.25 km/hr

Option 3: 7.14 km/hr

Option 4: 7 km/hr

Question : A person goes from J to K at a speed of 55 km/hr. He comes back from K to J at a certain speed. If his average speed is $\frac{660}{17}$ km/hr, then what was his speed while moving from K towards J?

Option 1: 24 km/hr

Option 2: 38 km/hr

Option 3: 30 km/hr

Option 4: 42 km/hr

Question : A girl goes from M to N at a speed of 25 km/hr and returns to M at a speed of 37.5 km/hr, via the same route. What is the girl's average speed (in km/hr)?

Option 1: 30

Option 2: 32

Option 3: 31.25

Option 4: 27.5

Question : A woman drives a car. During her journey, she travels 20 minutes at a speed of 60 km/hr, another 30 minutes at a speed of 40 km/hr and 1 hour at a speed of 50 km/hr. The average speed of the car is:

Option 1: $\frac{540}{11}$ km/hr

Option 2: $\frac{630}{11}$ km/hr

Option 3: $\frac{100}{11}$ km/hr

Option 4: $\frac{90}{11}$ km/hr

Question : A man goes from A to B at a speed of 200 km/hr and comes back to A at a speed of 300 km/hr. Find his average speed for the entire journey.

Option 1: 264 km/hr

Option 2: 345 km/hr

Option 3: 340 km/hr

Option 4: 240 km/hr