Home
Class 10
MATHS
A circular field has a circumference of ...

A circular field has a circumference of 360km. Three cyclists start together and can cycle 48, 60 and 72 km, a day, round the field. When will they meet again?

Text Solution

Verified by Experts

The correct Answer is:
60 days
Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 1c|12 Videos
  • REAL NUMBERS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Very Short Answer Questions|12 Videos
  • REAL NUMBERS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise1 A|28 Videos
  • QUADRATIC EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|6 Videos
  • SOME APPLICATIONS OF TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Long Answer Questions|5 Videos

Similar Questions

Explore conceptually related problems

There is a circular path around a sports field. Soma takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point?

There is a circular path around a sports field. Priya takes 18 minutes to drive on round of the field, while Ravish takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point?

A circular coil has moment of inertia "0.8 kg m"^(2) around any diameter and is carrying current to produce a magnetic moment of 20Am^(2) . The coil is kept initially in a vertical position and it can rotate freely around a horizontal diameter. When a uniform magnetic field of 4 T is applied along the vertical, it starts rotating around its horizontal diameter. The angular speed the coil acquires after rotating by 60^(@) will be :

A cyclist starts from the center O of a circular park of radius 1km, reaches the edge P of the park, then cycles along the PQ circumference and returns to the center along OQ as shown in fig. If the round trip taken ten minute, the (a) net displacement, (b) average velocity and (c) average speed of the cyclists (in kilometer per hour) is

A 10-km long straight road connects two towns A and B , Two cyclists dimultaneously start one from town A and the other from town B .On reaching the opposite town, a cyclists simmediaeately retrns to his starting town wheras the other cyclist takes some rest and then returns to his starting town. Both of them can ride at speed 20 km h^(-1) in absence of wind but during their whole journey uniform wind from town A and B increase the speed of it decreases the speed of the cyclist going against the wind Both the cyclisrs meet twice, first at 2 km and then 6 km away from one of the tomns. If which town and for what perild does a cyclist rest ?

A cyclist starts from the centre O of a circular park of radius 1km, reaches the edge P of the park, then cycles along the PQ cicumference and returns to the centre along OQ as shown in fig. If the round trip taken ten minute, the net displacement and average speed of the cylists (in kilometer and kinetic per hour) is

The area of a square field is 60025 m^2dot A man cycles along its boundary at 18 km/ hr. In how must time will he return at the starting point ?

A driver having a definite reaction time is capable of stopping his car over a distance of 30 m on seeing a red traffic signal, when the speed of the car is 72 km/hr andover a distance of 10 m when the speed is 36 km/hr. Find the distance over which he can stop the car if it were running at a speed of 54 km/hr. Assume that his reaction time and the deceleration of the car remains same in all the three cases.

A circular coil of radius 2.00 cm has 50 turns. A uniform magnetic field B= 0.200 T exists in the space is a direction parallel to the axis of the loop. The coil is now rotated about a diameter through an angle of 60.0^@ . The operation takes 0.100 s. (a) find the average emf induced in the coil. (b) if the coil is a closed one(with the two ends joined together) and has a resistance of 4.00 Omega . calculate the net charge crossing a cross- section of the wire of the coil.

A dence collection of equal number of electrona and positive ions is called netural plasma. Certain solids contianing fixed positive ions surroundedby free electrons can be treated as neytral plasma. Let 'N' be the numbrer density of free electrons, each of mass ' m '. When the elctrons are subjected to an eletric field, they are displaced relatively away from the heavy positive ions. if the electric field becomes zero, the electrons begin to oscillate about the positive ions with a natural angular frequency ' omega_(P)' which is called the plasma frequency. to sustain the oscillations, a time varying electric field needs to be applied that has an angular frequrncy omega , where a part of the energy is absorbed and a part of it is reflected. As omega approaches omega_(p) all the free electrons are set to resonance together and all the energy is reflected. this is the explaination of high reflectivity of metals. (1) Taking the electronic charge as 'e' and the permittivity as 'epsilon_(0) '. use dimensional analysis to determine the correct expression for omega_(p) .