Question : A man travels 600 km by train at 80 km/hr, 600 km by ship at 30 km/hr, 500 km by aeroplane at 400 km/hr, and 300 km by car at 60 km/hr. What is the average speed (km/hr) for the entire distance?
Option 1: $56\frac{7}{27}$
Option 2: $63$
Option 3: $59\frac{7}{27}$
Option 4: $62\frac{7}{27}$
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Correct Answer: $59\frac{7}{27}$
Solution : $\text{Average speed}=\frac{\text{Total distance}}{{\text{total time}}}$ Total distance travelled = (600 + 600 + 500 + 300) km = 2000 km Total time taken = $\frac{600}{80}+\frac{600}{30}+\frac{500}{400}+\frac{300}{60}$ = $\frac{15}{2}+20+\frac{5}{4}+5$ = $\frac{30+80+5+20}{4}$ = $\frac{135}{4}$ hr Average speed = $2000×\frac{4}{135}=\frac{8000}{135}$ km/hr = $\frac{1600}{27}=59\frac{7}{27}$ km/hr Hence, the correct answer is $59\frac{7}{27}$ km/hr.
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Question : An aeroplane covers a distance of 900 km in 1.5 hours. What is the speed of the aeroplane?
Option 1: 500 km/hr
Option 2: 300 km/hr
Option 3: 600 km/hr
Option 4: 400 km/hr
Question : A man covers half part of a certain distance at 25 km/hr. He covers 40% of the remaining distance at the speed of 8 km/hr and covers the rest of the distance at the speed of 18 km/hr. What is his average speed for the entire journey?
Option 1: $\frac{650}{37}$ km/hr
Option 2: $\frac{540}{37}$ km/hr
Option 3: $\frac{600}{37}$ km/hr
Option 4: $\frac{480}{37}$ km/hr
Question : An aeroplane covers a certain distance at a speed of 400 km/hr in 8 hours. To cover the same distance in 5 hours, the speed of the aeroplane will be:
Option 1: 640 km/hr
Option 2: 680 km/hr
Option 3: 580 km/hr
Option 4: 600 km/hr
Question : A man covers half part of a certain distance at 35 km/hr. He covers 40 percent of the remaining distance at the speed of 8 km/hr and covers the rest of the distance at the speed of 18 km/hr. What is his average speed for the entire journey?
Option 1: $\frac{920}{47}$ km/hr
Option 2: $\frac{680}{47}$ km/hr
Option 3: $\frac{840}{47}$ km/hr
Option 4: $\frac{760}{47}$ km/hr
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
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