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Home Aptitude Height and Distance Comments

  • Question
  • Jack takes 20 minutes to jog around the race course one time, and 25 minutes to jog around a second time. What is his average speed in miles per hour for the whole jog if the course is 3 miles long?


  • Options
  • A. 6
  • B. 8
  • C. 9
  • D. 10

  • Correct Answer


  • Explanation

    Average speed = total distance / total time

    Total distance covered = 6 miles; total time = 45 minutes = 0.75 hours

    Average speed = 6/ 0.75 = 8 miles/hour

  • Tags: GRE

    Height and Distance problems


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    • 1. Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30º and 45º respectively. If the lighthouse is 100 m high, the distance between the two ships is:

    • Options
    • A. 173 m
    • B. 200 m
    • C. 273 m
    • D. 300 m
    • Discuss
    • 2. A vertical toy 18 cm long casts a shadow 8 cm long on the ground. At the same time a pole casts a shadow 48 m. long on the ground. Then find the height of the pole ?

    • Options
    • A. 1080 cm
    • B. 180 m
    • C. 108 m
    • D. 118 cm
    • Discuss
    • 3. A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30º with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60º. What is the distance between the base of the tower and the point P?

    • Options
    • A. Data inadequate
    • B. 8 units
    • C. 12 units
    • D. None of these
    • Discuss
    • 4. An observer 1.6 m tall is 20 3 away from a tower. The angle of elevation from his eye to the top of the tower is 30º. The heights of the tower is:

    • Options
    • A. 21.6 m
    • B. 23.2 m
    • C. 24.72 m
    • D. None of these
    • Discuss
    • 5. If an object travels at five feet per second, how many feet does it travel in one hour?

    • Options
    • A. 30
    • B. 3000
    • C. 18
    • D. 1800
    • Discuss
    • 6. The top and bottom of a tower were seen to be at angles of depression 30° and 60° from the top of a hill of height 100 m. Find the height of the tower ?

    • Options
    • A. 42.2 mts
    • B. 33.45 mts
    • C. 66.6 mts
    • D. 58.78 mts
    • Discuss
    • 7. A flagstaff 17.5 m high casts a shadow of length 40.25 m. What will be the height of a building, which casts a shadow of length 28.75 m under similar conditions ? ?

    • Options
    • A. 14 cm
    • B. 13.5 cm
    • C. 12.5 cm
    • D. 11.4 cm
    • Discuss
    • 8. A ladder is resting against a vertical wall and its bottom is 2.5 m away from the wall. If it slips 0.8 m down the wall, then its bottom will move away from the wall by 1.4 m. What is the length of the ladder?

    • Options
    • A. 6.2 m
    • B. 6.5 m
    • C. 6.8 m
    • D. 7.5 m
    • Discuss
    • 9. The height and the slant height of a right circular cone are 24 cm and 25 cm, respectively. Considering ? as 22/7 , find the curved surface area of the said cone.

    • Options
    • A. 550 cm2
    • B. 572 cm2
    • C. 528 cm2
    • D. 539 cm2
    • Discuss
    • 10. Two men standing on same side of a pillar 75 metre high, observe the angles of elevation of the top of the pillar to be 30° and 60° respectively the distance between two men is

    • Options
    • A. 100 3m
    • B. 100m
    • C. 753m
    • D. 253m
    • Discuss


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